A203699 Vandermonde sequence using x^2 - xy + y^2 applied to the Fibonacci numbers (1,2,3,5,...F(n+1)).

1, 3, 147, 1114407, 7930748737548, 423375184354643258554908, 1139699897999666959110654862545153285132, 1110214943505579438451390880891356969725014603098351043391552

Offset: 1

Author

Clark Kimberling, Jan 04 2012

Keywords

• nonn

Comments

See A093883 for a discussion and guide to related sequences.

Programs

Mathematica

f[j_] := Fibonacci[j + 1]; z = 11;
u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,
  {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203699 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203700 *)